Unsteady Aerostructure Coupled Adjoint Method for Flutter Suppression

An unsteady aerostructure coupled adjoint method is presented for computing shape sensitivities of unsteady flows with fluid–structure interactions. The nominal flow solver is an unsteady Euler solver based on a stationary Cartesian grid using transpiration boundary conditions. With Hilbert transformation, a novel damping-related cost function is defined for which the shape sensitivity can be computed by the new unsteady aerostructure coupled adjoint method. The capability of the new method is demonstrated by a successful airfoil shape optimization for flutter suppression.

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